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Finding the Fourth Proportional to 211.33, 292.17 and 178.53

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Solution

The fourth proportional to 211.33, 292.17 and 178.53 is: 246.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.33 : 292.17 = 178.53 : x
  2. Step 2: Convert to fraction form
    211.33/292.17 = 178.53/x
  3. Step 3: Cross multiply
    211.33x = 292.17 × 178.53
  4. Step 4: Simplify right side
    211.33x = 52,161.11
  5. Step 5: Solve for x
    x = 52,161.11/211.33
  6. Step 6: Final answer
    x = 246.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.